Fractions (mathematics) | Elementary algebra

Rationalisation (mathematics)

In elementary algebra, root rationalisation is a process by which radicals in the denominator of an algebraic fraction are eliminated. If the denominator is a monomial in some radical, say with k < n, rationalisation consists of multiplying the numerator and the denominator by and replacing by x (this is allowed, as, by definition, a nth root of x is a number that has x as its nth power). If k β‰₯ n, one writes k = qn + r with 0 ≀ r < n (Euclidean division), and then one proceeds as above by multiplying by If the denominator is linear in some square root, say rationalisation consists of multiplying the numerator and the denominator by and expanding the product in the denominator. This technique may be extended to any algebraic denominator, by multiplying the numerator and the denominator by all algebraic conjugates of the denominator, and expanding the new denominator into the norm of the old denominator. However, except in special cases, the resulting fractions may have huge numerators and denominators, and, therefore, the technique is generally used only in the above elementary cases. (Wikipedia).

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Simplifying a rational expression by factoring

Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational

From playlist Simplify Rational Expressions

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πŸ‘‰ Learn how to rationalize the denominator. Rationalization is the simplification of a rational expression by multiplying the denominator and the numerator of the expression by the conjugate of the denominator. The conjugate of an expression of two terms is obtained by changing the sign be

From playlist Rationalize the Denominator with Fractional Exponent

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Simplify a rational expression

Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational

From playlist Simplify Rational Expressions

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Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational

From playlist Simplify Rational Expressions

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Learn to rationalize the denominator with a monomial as the denominator ex 6

πŸ‘‰ Learn how to rationalize the denominator. Rationalization is the simplification of a rational expression by multiplying the denominator and the numerator of the expression by the conjugate of the denominator. The conjugate of an expression of two terms is obtained by changing the sign be

From playlist Rationalize the Denominator with Fractional Exponent

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Simplify a rational expression

Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational

From playlist Simplify Rational Expressions

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From playlist Surds (GCSE Tutorials)

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From playlist A Level OCR MEI Maths

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From playlist A Level OCR MEI Maths

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From playlist Surds, Surds and more Surds! GCSE Maths Help

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From playlist Surds, Surds and more Surds! GCSE Maths Help

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From playlist Rational Functions - Understanding

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From playlist Simplify Rational Expressions

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From playlist Simplify Rational Expressions (Binomials) #Rational

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From playlist AS Level Maths Pure - AQA, Edexcel and OCR MEI

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From playlist MATHS

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From playlist GCSE & IGCSE Maths //

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From playlist Simplify Rational Expressions

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PSYCHOTHERAPY - Anna Freud

It's to Anna Freud we owe the genius term 'defensiveness' to describe how most of us get some of the time. SUBSCRIBE to our channel for new films every week: http://tinyurl.com/o28mut7 If you like our films take a look at our shop (we ship worldwide): http://www.theschooloflife.com/shop/al

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Related pages

Euclidean division | Difference of two squares | Expression (mathematics) | Field norm | Linear function | Square root | Algebraic function | Elementary algebra | Monomial | Cube root | Norm form | Nth root | Algebraic number